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Finding the Third Proportional to 285,324 and 674,759

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Solution

The third proportional to 285,324 and 674,759 is: 1,595,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,324 : 674,759 = 674,759 : x
  2. Step 2: Convert to fraction form
    285,324/674,759 = 674,759/x
  3. Step 3: Cross multiply
    285,324x = 674,759 × 674,759
  4. Step 4: Simplify right side
    285,324x = 455,299,708,081
  5. Step 5: Solve for x
    x = 455,299,708,081/285,324
  6. Step 6: Final answer
    x = 1,595,728.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.